| Indices |
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Set of raw materials (RMs) indexed by r
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Set of suppliers indexed by s
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Set of manufacturers indexed by i
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Set of DCs indexed by j
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Set of customers indexed by k
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Set of CCs indexed by c
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Set of RECs indexed by q
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Set of SMs indexed by h
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Set of RCCs indexed by b
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Set of disposal centers indexed by d
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Set of manufacturing technologies indexed by t
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Set of countries in which international suppliers are located indexed by
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Set of information-sharing systems (ISS) indexed by f
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| Parameters |
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Cost of contracting with supplier s located country n
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Fixed-Cost (FC) of opening manufacturer i by technology t
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FC of opening DC j
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FC of opening CC c
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FC of opening REC q
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FC of opening RCC b
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FC of establishing ISS f
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Cost of buying raw material r from supplier s located in country n
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Manufacturing cost for technology t in manufacturer i
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Operation costs of DC j
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Operation costs of CC c
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Cost of repairing products in REC q
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Cost of recycling components in RCC b
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The shortage cost |
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Customs duty rate of RM r supplied from a supplier located in country n (it is equal to zero for the domestic suppliers) |
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Exchange rate of the currency of country n (it is equal to 1 for the domestic suppliers) |
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Unit of transportation cost |
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The selling price of components in SM h
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The selling price for recycled material |
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The capacity of supplier s located in country n for RM r
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The capacity of manufacturer i with technology t
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The capacity of DC j
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The capacity of CC c
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The capacity of REC q
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The capacity of RCC b
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The demand of customers k
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Distance between facility and facility ;
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The utilization rate of raw material r in the product |
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Rate of return of products for customers k
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The percentage of the repairable returned products |
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The percentage of components that are successfully recycled |
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The quantity of materials obtained from recycling the product |
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Carbon emission due to the manufacturing process in manufacturer i using technology t
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Carbon emission due to the repairing process in REC q
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Carbon emission due to the recycling process in RCC b
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Carbon emission due to the transportation process |
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The job opportunity created by establishing a facility
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The percent of the information that can be exchanged in the whole SC network using ISS f
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| Decision variables |
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A binary variable that shows whether supplier s located country n is selected or not |
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A binary variable that shows whether manufacturer i with technology t is opened or not |
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A binary variable that shows whether DC j is opened or not |
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A binary variable that shows whether CC c is opened or not |
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A binary variable that shows whether REC q is opened or not |
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A binary variable that shows whether RCC b is opened or not |
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A binary variable that shows whether ISS f is established or not |
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The quantity of RM r sent from supplier s located in country n to manufacturer i
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The quantity of product sent from manufacturer i with technology t to DC j
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The quantity of product sent from DC j to customers k
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The quantity of returned product sent from customers k to CC c
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The quantity of products sent from CC c to REC q
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The quantity of products sent from CC c to RCC b
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The quantity of repaired products sent from REC q to SM h
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The quantity of wastes sent from RCC b to disposal center d |
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The quantity of recycled materials sent from RCC b to supplier s located in country n
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The quantity of shortage for the customers k
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The quantity of visibility of information in the supply chain networks when ISS f is established |
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The service level |